49=.5(2x)(x)

Solution for 49=.5(2x)(x) equation:

Simplifying
49 = 0.5(2x)(x)

Remove parenthesis around (2x)
49 = 0.5 * 2x(x)

Multiply 0.5 * 2
49 = 1x * x

Multiply x * x
49 = 1x2

Solving
49 = 1x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x2' to each side of the equation.
49 + -1x2 = 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
49 + -1x2 = 0

Add '-49' to each side of the equation.
49 + -49 + -1x2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -1x2 = 0 + -49
-1x2 = 0 + -49

Combine like terms: 0 + -49 = -49
-1x2 = -49

Divide each side by '-1'.
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}